Question

So sánh 

3^54 và 2^81

Answer 1

ta có: 3⁵⁴ = (3²)²⁷ = 9²⁷

2⁸¹ = (2³)²⁷ = 8²⁷ < 9²⁷

=> 3⁵⁴ > 2⁸¹

Answer 2

Ta có:\(3^{54}=3^{2.3.9}=\left(3^{2.3}\right)^9=\left(9^3\right)^9\) và \(2^{81}=2^{3.3.9}=\left(2^{3.3}\right)^9=\left(8^3\right)^9\)

Vì 9 > 8 \(\Rightarrow\left(9^3\right)^9>\left(8^3\right)^9\)

\(\Rightarrow3^{54}>2^{81}.\)